Existence of solutions for a class of $p(x)$-curl systems arising in electromagnetism without (A-R) type conditions
DOI:
https://doi.org/10.5556/j.tkjm.51.2020.2915Keywords:
$p(x)$-curl operator, Electromagnetism, Mountain pass theorem, Fountain theoremAbstract
In this paper, we study the existence and multiplicity of solutions for a class of of $p(x)$-curl systems arising in electromagnetism. Under suitable conditions on the nonlinearities which do not satisfy Ambrosetti-Rabinowitz type conditions, we obtain some existence and multiplicity results for the problem by using the mountain pass theorem and fountain theorem. Our main results in this paper complement and extend some earlier ones concerning the $p(x)$-curl operator in [4, 15].Additional Files
Published
2020-10-01
How to Cite
Afrouzi, G. A., Chung, N. T., & Naghizadeh, Z. (2020). Existence of solutions for a class of $p(x)$-curl systems arising in electromagnetism without (A-R) type conditions. Tamkang Journal of Mathematics, 51(3), 187-200. https://doi.org/10.5556/j.tkjm.51.2020.2915
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